Least Common Multiple of 3859/20, 7092/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3859/20, 7092/855 quickly i.e. 27368028/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3859/20, 7092/855 is 27368028/5.

LCM(3859/20, 7092/855) = 27368028/5

LCM of 3859/20, 7092/855

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3859/20,7092/855

Given numbers are 3859/20,7092/855

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3859,7092

Least Common Multiple of Numerators i.e. LCM of 3859,7092 is 27368028.

GCF of Denominators means GCF of 20,855 as per the given fractions.

GCF of 20,855 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3859,7092

LCM of Fractions 3859/20,7092/855 is 27368028/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 27368028

Least Common Multiple of 3859,7092 with GCF Formula

Least Common Multiple of 3859,7092 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3859,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3859,7092) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3859,7092) x common factors =1 x 1 = 1

LCM(3859,7092) = ( 3859 × 7092 ) / 1

LCM(3859,7092) = 27368028 / 1

LCM(3859,7092) = 27368028


Lets's calculate GCF of 20,855

5 20, 855
4, 171

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27368028/5

Therefore the LCM of Fractions 3859/20,7092/855 is 27368028/5

Greatest Common Factor of 20,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,855 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 20,855 . The biggest common factor number is the GCF number.
So the greatest common factor 20,855 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3859/20, 7092/855

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3859/20, 7092/855?

Answer: LCM of Numerators as per given numbers 3859/20, 7092/855 is

LCM of Numerators i.e. for 3859,7092 is 27368028

GCF of denominators i.e. for 20,855 is 5.

Thus, LCM of Fractions is 27368028/5.Finally, LCM of Fractions for 3859/20, 7092/855 is 27368028/5.